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A brief summary of the theoretical and experimental knowledge of the spin structure of the proton is presented. The helicity distributions of quark and gluons are discussed, together with their related sum rules. The transversity…

High Energy Physics - Phenomenology · Physics 2017-08-23 Mauro Anselmino

The twenty years since the announcement of the proton spin crisis by the European Muon Collaboration has seen tremendous progress in our knowledge of the distribution of spin within the proton. The problem is reviewed, beginning with the…

High Energy Physics - Phenomenology · Physics 2010-11-11 A. W. Thomas , Jefferson Lab

This article reviews our present understanding of the QCD spin structure of the proton. We first outline the proton spin puzzle and its possible resolution in QCD. We then review the present and next generation of experiments to resolve the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Steven D. Bass

We comment on the puzzling status of the proton magnetic radius determinations.

High Energy Physics - Phenomenology · Physics 2024-02-07 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

It is argued that spin is a fundamental aspect of gauge theories at short distances. As a consequence there are characteristic helicity asymmetries in hard inclusive and exclusive reactions of which a few are discussed.

High Energy Physics - Phenomenology · Physics 2025-01-23 P. Kroll

How do the quark and gluon share the nucleon momentum? How does the nucleon spin distribute among its constituents? What means the quark and gluon momentum, spin and orbital angular momentum? These problems are analyzed and a solution is…

High Energy Physics - Phenomenology · Physics 2015-06-18 Fan Wang , W. M. Sun , X. S. Chen , P. M. Zhang

The proton spin puzzle has challenged our understanding of QCD for the last 20 years. New measurements of polarized glue, valence and sea quark polarization, including strange quark polarization, are available. What is new and exciting in…

High Energy Physics - Phenomenology · Physics 2009-08-05 Steven D. Bass

We consider a non-uniqueness problem of gauge invariant nucleon spin decomposition. A gauge invariant decomposition with a generalized Coulomb constraint for the physical gluon has been constructed. The decomposition scheme is consistent…

High Energy Physics - Phenomenology · Physics 2012-04-24 D. G. Pak , P. M. Zhang

We discuss the shortfalls of existing resolutions of the long-standing gauge invariance problem of the canonical decomposition of the nucleon spin to the spin and angular momentum of quarks and gluons. We provide two logically flawless…

Nuclear Theory · Physics 2015-05-20 Y. M. Cho , Mo-Lin Ge , Pengming Zhang

We discuss some paradoxes arising due to the gauge-dependence of canonical variables in mechanics.

Physics Education · Physics 2007-05-23 I. B. Khriplovich , A. I. Milstein

This article reviews our present understanding of QCD spin physics: the proton spin puzzle and new developments aimed at understanding the transverse structure of the nucleon. We discuss present experimental investigations of the nucleon's…

High Energy Physics - Phenomenology · Physics 2015-06-11 Christine A. Aidala , Steven D. Bass , Delia Hasch , Gerhard K. Mallot

Proton spin problem is given a new perspective with the proposition that spin is a topological invariant represented by a de Rham 3-period. The idea is developed generalizing Finkelstein-Rubinstein theory for Skyrmions/kinks to topological…

General Physics · Physics 2016-12-19 S C Tiwari

We discuss the uniqueness or non-uniqueness problem of the decomposition of the gluon field into the physical and pure-gauge components, which is the basis of the recently proposed two physically inequivalent gauge-invariant decompositions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Masashi Wakamatsu

We emphasise the relation between the spin structure of the proton and the axial U(1) problem. New experiments motivated by the proton spin problem which could shed light on the nature of U(1) symmetry breaking in QCD are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 Steven D. Bass

In the last few years, the so-called Chen et al. approach of the nucleon spin decomposition has been widely discussed and elaborated on. In this letter we propose a genuine differential geometric understanding of this approach. We mainly…

High Energy Physics - Theory · Physics 2015-03-05 Jordan François , Serge Lazzarini , Thierry Masson

Lattice calculations of the proton spin components is reviewed. The lattice results of the quark spin from the axial-vector current matrix element at $\sim 0.3- 0.4$ is smaller than those from the constituent quark models. This is largely…

High Energy Physics - Lattice · Physics 2022-04-28 Keh-Fei Liu

We give an argument that a broad class of geometric models of spinning relativistic particles with Casimir mass and spin being separately fixed parameters, have indeterminate worldline (while other spinning particles have definite…

Mathematical Physics · Physics 2012-02-10 Łukasz Bratek

Recently, X. Chen et al. proposed a new approach to the gauge invariant decomposition of the nucleon spin into helicity and orbital parts. The key ingredient in their construction is the separation of the gauge field into `physical' and…

High Energy Physics - Phenomenology · Physics 2011-09-08 Yoshitaka Hatta

The status of proton decay is described, including general motivations for baryon number violation, and the present and future experimental situation. Grand unification with and without supersymmetry is considered, including possible…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Langacker

I review the recent progress in understanding the complete gauge invariant decomposition of the nucleon spin with particular emphasis on its twist structure.

High Energy Physics - Phenomenology · Physics 2015-06-17 Yoshitaka Hatta